Conditions for the Existence of Basic Solutions of Linear Multivalued Differential Equations

被引：2

作者：

Komleva, T. A. ^{[1
]}

Plotnikov, A., V ^{[1
]}

Plotnikova, L., I ^{[2
]}

Skripnik, N., V ^{[3
]}

机构：

[1] Odessa State Acad Bldg & Architecture, Odessa, Ukraine

[2] Odessa Natl Polytech Univ, Odessa, Ukraine

[3] I Mechnikov Odessa Natl Univ, Odessa, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2021年 / 73卷 / 05期

关键词：

VALUED FUNCTIONS; HUKUHARA DIFFERENTIABILITY; SET; CALCULUS;

D O I：

10.1007/s11253-021-01958-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss various definitions and properties of the derivatives of set-valued mappings. We also consider a linear set-valued differential equation and investigate the problem of existence of solutions of this equation with Hukuhara derivative, PS-derivative, and BG-derivative. The obtained results are illustrated by model examples.

引用

页码：758 / 783

页数：26

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